113372735320 has 128 divisors (see below), whose sum is σ = 281485290240. Its totient is φ = 40831096320.

The previous prime is 113372735263. The next prime is 113372735353. The reversal of 113372735320 is 23537273311.

It is a super-2 number, since 2×113372735320² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113372735320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18488655 + ... + 18494785.

It is an arithmetic number, because the mean of its divisors is an integer number (2199103830).

Almost surely, 2^113372735320 is an apocalyptic number.

113372735320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113372735320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140742645120).

113372735320 is an abundant number, since it is smaller than the sum of its proper divisors (168112554920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113372735320 is a wasteful number, since it uses less digits than its factorization.

113372735320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7025 (or 7021 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 37.

The spelling of 113372735320 in words is "one hundred thirteen billion, three hundred seventy-two million, seven hundred thirty-five thousand, three hundred twenty".